Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

9.0ms	39×	body	640	valid
9.0ms	61×	body	1280	valid
4.0ms	132×	body	80	valid
2.0ms	19×	body	320	valid
0.0ms	5×	body	160	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify112.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	669	19
1	669	19

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 29.1b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
1.4b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite68.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
25×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out_binary64`
18×	`distribute-lft-out--_binary64`
14×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64` `difference-of-sqr-1_binary64`
4×	`associate-/r/_binary64`
3×	`pow1_binary64` `insert-posit16`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 116

Calls

3 calls:

45.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
11.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
6.0ms	(/.f64 x (+.f64 x 1))

series126.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
23.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
22.0ms	(/.f64 x (+.f64 x 1))

simplify129.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5945	2341

prune169.0ms (5.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

Compiler

Compiled 2560 to 1828 computations (28.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 x (+.f64 x 1))
1.4b	(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
4.4b	(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))

rewrite81.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
36×	`add-sqr-sqrt_binary64` `exp-prod_binary64`
31×	`add-cube-cbrt_binary64`
20×	`log-pow_binary64`
10×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
4×	`associate-/r*_binary64` `insert-posit16`
3×	`flip3-+_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64` `associate--l+_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64`

Counts

4 → 111

Calls

4 calls:

53.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
9.0ms	(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
8.0ms	(exp.f64 (/.f64 x (+.f64 x 1)))
7.0ms	(/.f64 x (+.f64 x 1))

series177.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
33.0ms	(exp.f64 (/.f64 x (+.f64 x 1)))
30.0ms	(/.f64 x (+.f64 x 1))
29.0ms	(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))

simplify110.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5066	1804

prune135.0ms (4.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

Compiler

Compiled 2609 to 1848 computations (29.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 x 3))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `insert-posit16` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 x (+.f64 x 3))

series63.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(*.f64 x (+.f64 x 3))

simplify168.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4878	242
1	4878	242

prune22.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

Compiler

Compiled 311 to 226 computations (27.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
0.3b	(/.f64 -1 (*.f64 x x))
0.4b	(/.f64 3 (pow.f64 x 3))
6.6b	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))

rewrite97.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64` `times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
35×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64`
13×	`associate-/r*_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`unpow3_binary64`
6×	`distribute-lft-out_binary64` `associate-/l*_binary64`
5×	`div-exp_binary64`
4×	`pow1_binary64` `distribute-rgt-out_binary64` `sqr-pow_binary64` `div-inv_binary64` `insert-posit16` `cube-mult_binary64`
3×	`cbrt-undiv_binary64` `frac-sub_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-rgt1-in_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

4 → 132

Calls

4 calls:

44.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
35.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
7.0ms	(/.f64 3 (pow.f64 x 3))
6.0ms	(/.f64 -1 (*.f64 x x))

series235.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

106.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
57.0ms	(/.f64 3 (pow.f64 x 3))
40.0ms	(/.f64 -1 (*.f64 x x))
32.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5235	2285

prune155.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Merged error: 0b

Counts

147 → 4

Compiler

Compiled 2958 to 2045 computations (30.9% saved)

regimes24.0ms (0.8%)

Compiler: Compiled 57 to 47 computations (17.5% saved)

bsearch35.0ms (1.2%)

Steps

Iters	Range		Point
9	0.00019631484427225273	375132.5995195478	9530.965198687854
9	-4012917671.3003016	-5.907094254255359	-13923.55108423105

Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	91	59
1	91	59

end0.0ms (0%)

sample829.0ms (28.7%)

Algorithm

1×

intervals

Results

248.0ms	1678×	body	1280	valid
145.0ms	1254×	body	640	valid
132.0ms	4119×	body	80	valid
57.0ms	639×	body	320	valid
18.0ms	310×	body	160	valid

Compiler

Compiled 108 to 87 computations (19.4% saved)

Details

analyze4.0ms (0.1%)

sample29.0ms (1%)

simplify112.0ms (3.9%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite68.0ms (2.4%)

series126.0ms (4.4%)

simplify129.0ms (4.5%)

prune169.0ms (5.9%)

localize9.0ms (0.3%)

rewrite81.0ms (2.8%)

series177.0ms (6.1%)

simplify110.0ms (3.8%)

prune135.0ms (4.7%)

localize6.0ms (0.2%)

rewrite8.0ms (0.3%)

series63.0ms (2.2%)

simplify168.0ms (5.8%)

prune22.0ms (0.8%)

localize9.0ms (0.3%)

rewrite97.0ms (3.4%)

series235.0ms (8.2%)

simplify72.0ms (2.5%)

prune155.0ms (5.4%)

regimes24.0ms (0.8%)

bsearch35.0ms (1.2%)

simplify7.0ms (0.3%)

end0.0ms (0%)

sample829.0ms (28.7%)

Profiling